\documentclass[10pt,a4paper]{article} 

\usepackage{ctex} % 中文支持
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\usepackage{amsmath, amssymb} % 数学公式与符号
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\usepackage{blkarray} % 给矩阵的行列加名称

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\author{221330100 WLQ }
\title{随机模型习题 }

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\item  %1
设太平洋某小岛上的天气变化是一个马尔可夫链，设转移概率矩阵如下，求它的不变分布和稳定分布。
\begin{eqnarray*}
K=\begin{blockarray}{ccc}
& Rainy & Sunny  \\
\begin{block}{c(cc)}
  Rainy & 3/4 & 1/4 \\
  Sunny & 1/5 & 4/5 \\
\end{block}
\end{blockarray}.
\end{eqnarray*}

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解答：






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\newpage
\item  %2
设一个随机系统状态空间为 $E=\{1,2,3\}$, 记录观测系统所出状态如下：
\begin{center}
3  2  1  3  1  1  2  3  2  1  2  3  3  3  1  1  2
1  3  3  2  1  2  2  2  2  3  2  3  1  1  2  3  1
\end{center}
如果这个系统可以马尔可夫链模型来描述，请估计转移概率 $p_{ij}$. 

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解答：







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\end{enumerate}

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